We discuss some properties of timelike minimal surfaces in flat Minkowski spacetime, reviewing some recent results concerning the definition of suitable notions of weak or generalized solutions in both the parametric and non parametric case, and the approximation by semilinear wave equations of Allen-Cahn or Ginzburg-Landau type. We mainly focus on the case of relativistic strings
This thesis concerns classical and quantum aspects of minimal manifolds embedded in flat Minkowski s...
For the first time in the Minkowski space, an R-1(n) time-like complementary ruled surface is descri...
AbstractThe classification of semi-parallel surfaces in Euclidean space (by Deprez 1985) and in Riem...
AbstractWe distinguish two particular classes of lightlike surfaces in the Minkowski space Mn, which...
We consider the timelike minimal surface problem in Minkowski spacetimes and show local and global e...
We study semilinear wave equations with Ginzburg–Landau-type nonlinearities, multiplied by a factor ...
We consider the sharp interface limit epsilon -> 0(+) of the semilinear wave equation square u + del...
We consider the sharp interface limit of a semilinear wave equation of Ginzburg-Landau type in R^(1+...
We show that timelike minimal cylinders in flat Minkowski space R^(1+n) always develop singularities...
The purpose of this paper is to introduce a summary of known results and the definition of the time...
We investigate two-dimensional timelike surfaces ∑ in a spacetime (X,g). It is shown that orie...
We find classical solutions to the equations of motion of an M-dimensional surface moving in a highe...
We develop a suitable generalization of Almgren's theory of varifolds in a lorentzian setting, focus...
AbstractWe solve the Björling problem for timelike surfaces in the Lorentz–Minkowski space through a...
We solve the Bjorling problem for timelike surfaces in the Lorentz-Minkowski space through a split-c...
This thesis concerns classical and quantum aspects of minimal manifolds embedded in flat Minkowski s...
For the first time in the Minkowski space, an R-1(n) time-like complementary ruled surface is descri...
AbstractThe classification of semi-parallel surfaces in Euclidean space (by Deprez 1985) and in Riem...
AbstractWe distinguish two particular classes of lightlike surfaces in the Minkowski space Mn, which...
We consider the timelike minimal surface problem in Minkowski spacetimes and show local and global e...
We study semilinear wave equations with Ginzburg–Landau-type nonlinearities, multiplied by a factor ...
We consider the sharp interface limit epsilon -> 0(+) of the semilinear wave equation square u + del...
We consider the sharp interface limit of a semilinear wave equation of Ginzburg-Landau type in R^(1+...
We show that timelike minimal cylinders in flat Minkowski space R^(1+n) always develop singularities...
The purpose of this paper is to introduce a summary of known results and the definition of the time...
We investigate two-dimensional timelike surfaces ∑ in a spacetime (X,g). It is shown that orie...
We find classical solutions to the equations of motion of an M-dimensional surface moving in a highe...
We develop a suitable generalization of Almgren's theory of varifolds in a lorentzian setting, focus...
AbstractWe solve the Björling problem for timelike surfaces in the Lorentz–Minkowski space through a...
We solve the Bjorling problem for timelike surfaces in the Lorentz-Minkowski space through a split-c...
This thesis concerns classical and quantum aspects of minimal manifolds embedded in flat Minkowski s...
For the first time in the Minkowski space, an R-1(n) time-like complementary ruled surface is descri...
AbstractThe classification of semi-parallel surfaces in Euclidean space (by Deprez 1985) and in Riem...